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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+x^2), why is it not onto?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+x^2) है, तो यह आच्छादी क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because negative values are not obtainedक्योंकि ऋणात्मक मान नहीं मिलते
Step 1: Both (x^4) and (x^2) are non-negative. Step 2: Hence (x^4+x^2\ge0), and a codomain value such as (-1) is not obtained. Step 3: A sum of even powers often has a non-negative range.चरण 1: (x^4) और (x^2) दोनों अऋणात्मक हैं। चरण 2: इसलिए (x^4+x^2\ge0), और (-1) जैसा सहप्रांत मान नहीं मिलता। चरण 3: सम घातों के योग का परास अक्सर अऋणात्मक होता है।
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